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Finding the Fourth Proportional to 303.03, 416.07 and 295.11

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Solution

The fourth proportional to 303.03, 416.07 and 295.11 is: 405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.03 : 416.07 = 295.11 : x
  2. Step 2: Convert to fraction form
    303.03/416.07 = 295.11/x
  3. Step 3: Cross multiply
    303.03x = 416.07 × 295.11
  4. Step 4: Simplify right side
    303.03x = 122,786.42
  5. Step 5: Solve for x
    x = 122,786.42/303.03
  6. Step 6: Final answer
    x = 405.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.